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85888368720 = 243257111549213
BaseRepresentation
bin100111111111101011…
…0001000000001010000
322012200201010012100100
41033333112020001100
52401344410244340
6103242341452400
76130252042230
oct1177726100120
9265621105310
1085888368720
1133474821710
121478ba11100
13813a046b6b
14422ac09cc0
15237a405830
hex13ff588050

85888368720 has 240 divisors, whose sum is σ = 359615947392. Its totient is φ = 17846922240.

The previous prime is 85888368719. The next prime is 85888368767. The reversal of 85888368720 is 2786388858.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719167 + ... + 830046.

Almost surely, 285888368720 is an apocalyptic number.

85888368720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85888368720 is an abundant number, since it is smaller than the sum of its proper divisors (273727578672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85888368720 is a wasteful number, since it uses less digits than its factorization.

85888368720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549250 (or 1549241 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 85888368720 in words is "eighty-five billion, eight hundred eighty-eight million, three hundred sixty-eight thousand, seven hundred twenty".